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Finding the Fourth Proportional to 421,986.36, 632,848.32 and 141,438

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Solution

The fourth proportional to 421,986.36, 632,848.32 and 141,438 is: 212,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,986.36 : 632,848.32 = 141,438 : x
  2. Step 2: Convert to fraction form
    421,986.36/632,848.32 = 141,438/x
  3. Step 3: Cross multiply
    421,986.36x = 632,848.32 × 141,438
  4. Step 4: Simplify right side
    421,986.36x = 89,508,800,684.16
  5. Step 5: Solve for x
    x = 89,508,800,684.16/421,986.36
  6. Step 6: Final answer
    x = 212,113.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.